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Fudgin [204]
1 year ago
14

Why do you think a removable discontinuity (hole) doesn't produce an asymptote on the graph of a polynomial function, even thoug

h it is excluded from the domain of the function?
Mathematics
1 answer:
Monica [59]1 year ago
8 0
Because  removable discontituity means that the limit of the function at that point has a finite value, and then you define the value of the function as that valu (the limit value).

An asymptote means that the limit of the function goes to positive or negative infinity.

You cannot meet both conditions, finite  and infinity limit at the same time.
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Let X denote the temperature (degree C) and let Y denote thetime in minutes that it takes for the diesel engine on anautomobile
BlackZzzverrR [31]

Answer:

Step-by-step explanation:

Given f_{XY} (x,y) = c(4x + 2y +1) ; 0 < x < 40\,and\, 0 < y

a)

we know that \int\limits^\infty_{-\infty}\int\limits^\infty_{-\infty} {f(x,y)} \, dxdy=1

therefore \int\limits^{40}_{-0}\int\limits^2_{0} {c(4x+2y+1)} \, dxdy=1

on integrating we get

c=(1/6640)

b)

P(X>20, Y>=1)=\int\limits^{40}_{20}\int\limits^2_{1} {\frca{1}{6640}(4x+2y+1)} \, dxdy

on doing the integration we get

                        =0.37349

c)

marginal density of X is

f(x)=\int\limits^2_{0} {\frca{1}{6640}(4x+2y+1)} \, dy

on doing integration we get

f(x)=(4x+3)/3320 ; 0<x<40

marginal density of Y is

f(y)=\int\limits^{40}_{0} {\frca{1}{6640}(4x+2y+1)} \, dx

on doing integration we get

f(y)=\frac{(y+40.5)}{83}

d)

P(01)=\int\limits^{40}_{0}\int\limits^2_{1} {\frca{1}{6640}(4x+2y+1)} \, dxdy

solve the above integration we get the answer

e)

P(X>20, 0

solve the above integration we get the answer

f)

Two variables are said to be independent if there jointprobability density function is equal to the product of theirmarginal density functions.

we know f(x,y)

In the (c) bit we got f(x) and f(y)

f(x,y)cramster-equation-2006112927536330036287f(x).f(y)

therefore X and Y are not independent

4 0
1 year ago
In a relay race, the probability of the Galaxy team winning is 22%. In another unrelated relay race, the probability of the Kome
Shalnov [3]

Answer: There is probability of approximately 12% that Komets losing their race and the Galaxy winning their game.

Explanation:

Since we have given that

Probability of the Galaxy team wins = 22%

Probability of the Komets team wins = 47%

So, Probability of the Komets losing their race is given by

100-47=53\%

We need to find the probability of the Komets losing their and the Galaxy winning their game .

Let Event K : Komets losing their game

Event G : Galaxy winning their game

Since these are two independent events,

So,

P(K\cap G)=P(K).P(G)\\\\P(K\cap G)=0.22\times 0.53\\\\P(K\cap G)=0.1166=0.12=12\%

So, there is probability of 12% that Komets losing their race and the Galaxy winning their game.


3 0
1 year ago
Read 2 more answers
The height of a rectangle box is 6 ft. The length is 3 ft longer than the fourfold the width x. The volume is 690 ft cubed. Writ
Usimov [2.4K]

Answer:

Step-by-step explanation:

18 is the height of it and then you divide 690

8 0
2 years ago
Given: m∠AEB = 45° ∠AEC is a right angle. Prove: Ray E B bisects ∠AEC. 3 lines extend from point E. A horizontal line extends to
Marta_Voda [28]

Answer:

RIGHT Angle Addition Postulate.

Step-by-step explanation:

Applying the RIGHT Angle Addition Postulate gives m∠AEB + m∠BEC = m∠AEC. Applying the substitution property gives 45° + m∠BEC = 90°. The subtraction property can be used to find m∠BEC = 45°, so ∠BEC ≅ ∠AEB because they have the same measure. Since Ray E B divides ∠AEC into two congruent angles, it is the angle bisector.

3 0
1 year ago
Read 2 more answers
The table represents a function. What is the value of f(–1)?
Afina-wow [57]

Answer : C

we need to  the value of f(–1)

Table is given in the question

From the table ,

f(x) = 4 when x= -5, that is f(-5) = 4

f(x) = 0 when x= -1, that is f(-1) =0

f(x)= -1 when x=6, that is f(6) = -1

f(x)= -3 when x=9, that is f(9) = -3

So, the value of f(–1) = 0



3 0
2 years ago
Read 2 more answers
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